While making pastries, a bakery used 1/4 of a bag of wheat flour and 7 3/8 bags of white flour. How many bags of flour did the bakery use in all?Write your answer as a fraction or as a whole or mixed number.
Question
While making pastries, a bakery used 1/4 of a bag of wheat flour and 7 3/8 bags of white flour. How many bags of flour did the bakery use in all?Write your answer as a fraction or as a whole or mixed number.
Solution
To solve this problem, we need to add the fractions representing the bags of wheat flour and white flour used.
First, let's convert the mixed number 7 3/8 to an improper fraction.
An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number).
To convert a mixed number to an improper fraction, we multiply the whole number by the denominator and add the numerator.
So, for 7 3/8, we multiply 7 (the whole number) by 8 (the denominator) and add 3 (the numerator).
7 * 8 = 56 56 + 3 = 59
So, 7 3/8 = 59/8 as an improper fraction.
Now, we can add the fractions:
1/4 (wheat flour) + 59/8 (white flour)
But first, we need to make the denominators the same. The least common denominator of 4 and 8 is 8.
So, we convert 1/4 to 2/8.
Now, we can add the fractions:
2/8 (wheat flour) + 59/8 (white flour) = 61/8
61/8 is an improper fraction. To convert it back to a mixed number, we divide the numerator by the denominator.
61 ÷ 8 = 7 remainder 5
So, 61/8 = 7 5/8
Therefore, the bakery used 7 5/8 bags of flour in all.
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